边界元法分析区域不划分单元的粘弹性问题

本文根据一般形式的积分型粘弹性模型,推出与古典弹性力学中相似的本构方程.在不经任何积分变换的情况下,用Kelvin基本解导出不用划分域内单元的边界积分方程,并进一步推导出多区域情况的离散化计算公式.最后用PT粘弹性模型计算了平面应变问题的算例.结果表明,用此法计算具有计算简单、精度高等特点.

BEM for Viscoelastic Problems without Inner Cells

In this paper, the characteristic equation is derived based on the general viscoelatic model of integration form. The boundary integral equations, which do not have regional integration, are developed without using integral transform and particular formulation for multi-region problems is performed. Some calculation examples for 2-D problems are given by the use of PT viscoelasticity model. The result shows that this method is simple and highly accurate.